Question

Question 8 using the information from question 7 for b-d

s (z .d. r.v's with pdff(x;8)-e-(x-θ)|(9 )(x), where θ E R LetX1,Xy, a) Find the distribution of Y -X(1) b) Construct a pivotal quantity based on Y. c) Use part b) to construct a 1-α confidence interval for θ d) What is the shortest confidence interval of the form obtained in part c)? Xn be i.i 8.) Let X1, X2,., Xn be a random sample with pof 2θ a) Find the distribution of Y- 9.3 sp-d) as in the previous exercise. 9.), Let X be from a pdf of the form f(x-μ), where μ E R. List three different pivots a they are indeed pivots.

Answer 1

har ½(.lle me r. d.f °F2 c/2. 1.